Information on Result #1159870
Linear OOA(2248, 1214755, F2, 7, 16) (dual of [(1214755, 7), 8503037, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(264, 16384, F2, 7, 8) (dual of [(16384, 7), 114624, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(264, 65536, F2, 8) (dual of [65536, 65472, 9]-code), using
- 1 times truncation [i] based on linear OA(265, 65537, F2, 9) (dual of [65537, 65472, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 232−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(265, 65537, F2, 9) (dual of [65537, 65472, 10]-code), using
- OA 4-folding and stacking [i] based on linear OA(264, 65536, F2, 8) (dual of [65536, 65472, 9]-code), using
- linear OOA(2184, 1198371, F2, 7, 16) (dual of [(1198371, 7), 8388413, 17]-NRT-code), using
- OOA 7-folding [i] based on linear OA(2184, 8388597, F2, 16) (dual of [8388597, 8388413, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2184, large, F2, 16) (dual of [large, large−184, 17]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(2184, large, F2, 16) (dual of [large, large−184, 17]-code), using
- OOA 7-folding [i] based on linear OA(2184, 8388597, F2, 16) (dual of [8388597, 8388413, 17]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.